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Identifying mobility behaviors in rich trajectory data is of great economic and social interest to various applications including urban planning, marketing and intelligence. Existing work on trajectory clustering often relies on similarity…

Machine Learning · Computer Science 2020-03-04 Mingxuan Yue , Yaguang Li , Haoze Yang , Ritesh Ahuja , Yao-Yi Chiang , Cyrus Shahabi

Process discovery is a family of techniques that helps to comprehend processes from their data footprints. Yet, as processes change over time so should their corresponding models, and failure to do so will lead to models that under- or…

Artificial Intelligence · Computer Science 2022-08-11 Andrea Burattin , Hugo A. López , Lasse Starklit

We investigate the extreme first-passage statistics of $N$ non-interacting random walkers on discrete, hierarchical networks. {By distinguishing between transport limited by escape from localized initial states (injection-limited) and…

Mathematical Physics · Physics 2026-05-15 Bhargav R. Karamched

We introduce a performance-driven framework for constructing strictly causal forward-oriented observables in strongly non-stationary time series. The method combines a robustly normalized composite of heterogeneous indicators with a…

Computational Finance · Quantitative Finance 2026-03-17 Lucas A. Souza

We propose a framework for constructing microscopic traffic models from microscopic acceleration patterns that can in principle be experimental measured and proper averaged. The exact model thus obtained can be used to justify the…

Adaptation and Self-Organizing Systems · Physics 2015-04-07 Bo Yang , Xihua Xu , John Z. F. Pang , Christopher Monterola

Normative decision theory proves inadequate for modeling human responses to the social-engineering campaigns of Advanced Persistent Threat (APT) attacks. Behavioral decision theory fares better, but still falls short of capturing…

Cryptography and Security · Computer Science 2018-11-16 Iain Embrey , Kim Kaivanto

Modeling evolving interactions among entities is critical in many real-world tasks. For example, predicting driver maneuvers in traffic requires tracking how neighboring vehicles accelerate, brake, and change lanes relative to one another…

Artificial Intelligence · Computer Science 2025-09-23 Osama Mohammed , Jiaxin Pan , Mojtaba Nayyeri , Daniel Hernández , Steffen Staab

Objective: This work introduces a framework for multivariate time series analysis aimed at detecting and quantifying collective emerging behaviors in the dynamics of physiological networks. Methods: Given a network system mapped by a vector…

Applications · Statistics 2025-02-04 Luca Faes , Gorana Mijatovic , Laura Sparacino , Alberto Porta

Understanding travel demand and behavior, particularly route and mode choices, is critical for effective transportation planning and policy design in multi-modal systems with emerging mobility options. Multi-modal system-level data, such as…

Systems and Control · Electrical Eng. & Systems 2026-03-04 Xiaoyu Ma , Sean Qian

Going beyond correlations, the understanding and identification of causal relationships in observational time series, an important subfield of Causal Discovery, poses a major challenge. The lack of access to a well-defined ground truth for…

Machine Learning · Statistics 2021-04-19 Andrew R. Lawrence , Marcus Kaiser , Rui Sampaio , Maksim Sipos

Most common mechanistic models are traditionally presented in mathematical forms to explain a given physical phenomenon. Machine learning algorithms, on the other hand, provide a mechanism to map the input data to output without explicitly…

Machine Learning · Computer Science 2020-12-22 Waad Subber , Piyush Pandita , Sayan Ghosh , Genghis Khan , Liping Wang , Roger Ghanem

In reinforcement learning (RL), an agent must explore an initially unknown environment in order to learn a desired behaviour. When RL agents are deployed in real world environments, safety is of primary concern. Constrained Markov decision…

Machine Learning · Computer Science 2022-06-24 David M. Bossens , Nicholas Bishop

Goal-Conditioned Reinforcement Learning (GCRL) provides a versatile framework for developing unified controllers capable of handling wide ranges of tasks, exploring environments, and adapting behaviors. However, its reliance on…

Machine Learning · Computer Science 2025-02-20 Charly Pecqueux-Guézénec , Stéphane Doncieux , Nicolas Perrin-Gilbert

Causal inference is crucial for humans to explore the world, which can be modeled to enable an agent to efficiently explore the environment in reinforcement learning. Existing research indicates that establishing the causality between…

Machine Learning · Computer Science 2025-08-14 Yan Yu , Yaodong Yang , Zhengbo Lu , Chengdong Ma , Wengang Zhou , Houqiang Li

We present a new method for detecting superdiffusive behaviour and for determining rates of superdiffusion in time series data. Our method applies equally to stochastic and deterministic time series data (with no prior knowledge required of…

Data Analysis, Statistics and Probability · Physics 2016-12-23 Georg A. Gottwald , Ian Melbourne

There are insights of chaotic properties in economic systems and data. To prove the existence of chaotic dynamics, the establishment of a deterministic model is mandatory. A global modelling tool (GPoM) is used to search for mathematical…

Chaotic Dynamics · Physics 2025-10-24 Alexandre Meneceur , Vincent Lignon , Martin Rosalie

This paper investigates conservative exploration in reinforcement learning where the performance of the learning agent is guaranteed to be above a certain threshold throughout the learning process. It focuses on the tabular episodic Markov…

Machine Learning · Computer Science 2023-06-14 Donghao Li , Ruiquan Huang , Cong Shen , Jing Yang

Learning a Markov Decision Process (MDP) from a fixed batch of trajectories is a non-trivial task whose outcome's quality depends on both the amount and the diversity of the sampled regions of the state-action space. Yet, many MDPs are…

Machine Learning · Computer Science 2022-03-08 Giorgio Angelotti , Nicolas Drougard , Caroline P. C. Chanel

Multivariate time series in domains such as finance, climate science, and healthcare often exhibit long-term trends, seasonal patterns, and short-term fluctuations, complicating causal inference under non-stationarity and autocorrelation.…

Machine Learning · Computer Science 2026-04-29 Muhammad Hasan Ferdous , Md Osman Gani

We conduct a thorough study of the comoving curvature perturbation $\mathcal{R}$ in single-field inflation with two stages, represented by a piecewise quadratic potential, where both the first and second derivatives are allowed to be…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-23 Xinpeng Wang , Xiao-Han Ma , Misao Sasaki